3-1: Hannah B. and Omar H.
3-2: Brandon A. and Kale B.
3-3: Ryan B. and Chrisla F.
3-4: Matt B. (Bonus) and Max P. (Bonus)
3-5: Courtney G. (Bonus) and Rachel K. (Bonus)
3-6: Claire B. (Bonus) and Jake E. (Bonus)
3-7: Courtney G. (Bonus) and Max. P. (Bonus)
3-8: Claire B. (Bonus) and Jake E. (Bonus)
Student Summaries: In this section we learned about equations and formulas. A true equation is if both sides of the equation have the same numerical expression. A false equation is if the numerical expressions on both sides of an equation are not equal. An open sentence is an equation that contains one or more variables. A solution of the equation is a value that makes the equation true. To solve and equation means finding all the variables that make the equation true. To solve you always do the opposite. If you add then you subtract, if you subtract you add, if you multiply you divide and if you divide you multiply. An example is 3x=9. So in order to solve this first you do the opposite operation, which is division. You would then divide each side by 3. What you do to one side, you do to the other. The answer would be 3. You check and 3(3)=9. Hannah B. and Omar H.
Student Summaries:
kale b.: what is done to one side must be done to the other of an algebraic equation. you must try to get the variable alone so that you may solve the problem. Ex. 5+x=10, answer x=5, because you added the 5 to the other side you have to subtract that 5 from both sides.
Brandon B-A: to solve a one step equation you must use the addition property of equality which means when two expressions are equal, if you add the same number to each expression, the resulting sums will be equal for example
In this lesson we learned about ratios and proportions. A ratio can be written three different ways such as a is to b, a:b, or a/b. When there are two equivalent ratios it is called a proportion. To solve a proportion containing variables you have to cross multiply the means and the extremes of the proportion. This will result in an algebraic equation. Lastly, the equation has to be solved to find the variable.
In this lesson we learned how to solve inequalities. When you have an equality with a variable it must be treated like an equation in order to solve it. The inequality sign has to be considered an equals sign when solving. Then you must use the addition, multiplication, or division property to properly solve for the variable.
Table of Contents
Chapter 3: Equations and Inequalities
Int 2 Chapter 3 Preview.pdfWiki Summary Assignments:
3-1: Hannah B. and Omar H.3-2: Brandon A. and Kale B.
3-3: Ryan B. and Chrisla F.
3-4: Matt B. (Bonus) and Max P. (Bonus)
3-5: Courtney G. (Bonus) and Rachel K. (Bonus)
3-6: Claire B. (Bonus) and Jake E. (Bonus)
3-7: Courtney G. (Bonus) and Max. P. (Bonus)
3-8: Claire B. (Bonus) and Jake E. (Bonus)
3-1: Equations and Formulas
Notes: Section 3-1Student.pdfView a lesson summary here
Summary on iTunes
Student Summaries: In this section we learned about equations and formulas. A true equation is if both sides of the equation have the same numerical expression. A false equation is if the numerical expressions on both sides of an equation are not equal. An open sentence is an equation that contains one or more variables. A solution of the equation is a value that makes the equation true. To solve and equation means finding all the variables that make the equation true. To solve you always do the opposite. If you add then you subtract, if you subtract you add, if you multiply you divide and if you divide you multiply. An example is 3x=9. So in order to solve this first you do the opposite operation, which is division. You would then divide each side by 3. What you do to one side, you do to the other. The answer would be 3. You check and 3(3)=9. Hannah B. and Omar H.
3-2: One-Step Equations
Notes:Section 3-2Student.pdfView a lesson summary here
Summary on iTunes
Student Summaries:
kale b.: what is done to one side must be done to the other of an algebraic equation. you must try to get the variable alone so that you may solve the problem. Ex. 5+x=10, answer x=5, because you added the 5 to the other side you have to subtract that 5 from both sides.
Brandon B-A: to solve a one step equation you must use the addition property of equality which means when two expressions are equal, if you add the same number to each expression, the resulting sums will be equal for example
3-3: Problem Solving Skills: Model Algebra
Notes: Section 3-3Student.pdfView a lesson summary here
Summary on iTunes
Student Summaries:
3-4: Equations with Two or More Operations
Notes: Section 3-4Student.pdfView a lesson summary here
Summary on iTunes
Student Summaries:
3-5: Proportions
Notes: Section 3-5Student.pdfView a lesson summary here
Summary on iTunes
Student Summaries:
In this lesson we learned about ratios and proportions. A ratio can be written three different ways such as a is to b, a:b, or a/b. When there are two equivalent ratios it is called a proportion. To solve a proportion containing variables you have to cross multiply the means and the extremes of the proportion. This will result in an algebraic equation. Lastly, the equation has to be solved to find the variable.
-Courtney G.
3-6: Graphing Inequalities on a Number Line
Notes: Section 3-6Student.pdfView a lesson summary here
Summary on iTunes
Student Summaries:
3-7: Solving Inequalities
Notes: Section 3-7Student.pdfView a lesson summary here
Summary on iTunes
Student Summaries:
In this lesson we learned how to solve inequalities. When you have an equality with a variable it must be treated like an equation in order to solve it. The inequality sign has to be considered an equals sign when solving. Then you must use the addition, multiplication, or division property to properly solve for the variable.
- Courtney G.
3-8: Equations with Squares and Square Roots
Notes: Section 3-8Student.pdfView a lesson summary here
Summary on iTunes
Student Summaries:
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